Sketch the natural log of KP versus 1/T for the
following cases:
a. Δ H ° < 0 Δ S ° < 0
b. Δ H ° < 0 Δ S ° > 0
c. Δ H ° > 0 Δ S ° > 0
d. Δ H ° > 0 Δ S ° < 0
Sketch the natural log of KP versus 1/T for the following cases: a. Δ H °...
1. Sketch a graph of the following function: f(t)-5(H(t) -2H(t-1)+ H(t-2)) 2. Use the definiton of the Laplace Transform to show that -5s 3. Find the inverse Laplace transform of the following: (a) T(s)-( (b) Y(s)=式 ) (劫 +3s 4. Solve the the following initial value problem: Sketch the function, f(), and the solution vit) on the same graph. 5. Solve the the following initial value problem: y" + 144y = δ(t); y(0) = 0, ช่ (0) =0
ta(t) and 82() = δ(t-100) are applied at the inputs of the ideal lowpass filters H() If /2000) and H2) I/1000) (Fig. P3.4-3). The outputs y() and y2 (t) of these filters are multiplied to obtain the signal y(t) 1 (t) 2 (t). (a) Sketch G1(f) and G2(f). (b) Sketch H1(f) and H2(f. (c) Sketch Y1(f) and Y2(f) (d) Find the bandwidths of vi(t), v2 (t), and y(t)
Sketch position-versus-time graphs (x versus t or y versus t) for the following motions. Include appropriate numerical scales along both axes. A small amount of computation may be necessary. 1. A parachutist opens her parachute at an altitude of 1500 m. She then descends slowly to earth at a steady speed of 5 m/s. Start your graph as her parachute opens. Trucker Bob starts the day 120 miles west of Denver. He drives east for 3 hours at a steady...
For natural number n, an = 1+1+3+--+--log n . x dt By use log x = hen x > 0,· w 1 t Prove that the series is convergence and for any n 2 1, - 0<an n+12n(n+1)
For natural number n, an = 1+1+3+--+--log n . x dt By use log x = hen x > 0,· w 1 t Prove that the series is convergence and for any n 2 1, - 0
1. Let x(t)-u(t-1) _ u(t-3) + δ(t-2) and h(t)-u(t) _ u(t-1) + u(t-3)-u(t-5) a. Find and sketch x(t-t) and h(t). (Hint: Break x(t) into two signals) b. Find and sketch y(t) - x(t)*h(t) using the quasi-graphical method. Label and show every step (drawings and calculations)
Sketch curves of x-1 versus T for T > Tc for (a) a paramagnet, (b) a ferromagnet, and (c) an antiferromagnet, and discuss the meaning of the intercept on the T axis.
Identify the following compound: C5H10O NMR: δ 9.8 (1 H, s), δ 1.1 (9 H, s)
Consider the log logistic CDF F(t)=1/(1+(t/α)-β) Find f(t), S(t), h(t), and H(t). It can be shown that h(t) can be non-monotone for some parameter choices. For these choices, it starts off at 0 for t=0, increases fairly rapidly to a maximum, and then gradually asymptotes out to 0 as t goes to infinity. Briefly describe in words what this would mean to a patient if T was the survival time after contracting a disease.
1- Let's consider an LTI system with an impulse response of where Wo a) Find H(s) and the associated H(ja) b) For the cases of μ:0.2, 0.5, 1.0, and 2.0 sketch frequency spectra c) What type of filter can this system represent? d) How does the spectrum HI(jw) change as μ increases? Explain? 2- Consider the following waveform f(t) which is a one cycle of a sinusoid for 0 t π in seconds while zero elsewhere (Aperiodic Signal) fit) 10...
Ql Sketch (i) h[n] (ii) Accumulation function of h(n) from negative infinity to n (a)hfn)-δ[n]; (b), h[n]=u[n]; 2701 (c) h[n]-cos|-|u[n] ; (d) h[n]-cos| 01 |u[n] [n]-cos